Week 
Section 
Topic 
Lecture 
HW Assignment 
1

1.1 
Some Basic Models; Direction Fields 
1 
8, 10, 11, 17, 18, 23 
1.3 
Classification of Differential Equations 
2 
1, 2, 5, 6, 8, 11 
2

2.1 
Linear Equations; Integrating Factors 
3 
6(c), 9(c), 17, 19, 22(b, c) 
2.2 
Separable Equations 
4 
3, 6, 8, 9, 12, 16 
2.3 
Modeling with First Order Equations 
5 
2, 4, 7, 9 
3

2.3 
Modeling, Continued 
6 
16, 18(a) 
2.7 
Numerical Approximation; 
7 
2 

Euler’s Method 


3.1 
Homogeneous Equations with 
8 
3, 6, 8, 10, 13, 17, 

Constant Coefficients 

20, 22, 23 
4

3.2 
Solutions of Linear Homogeneous Equations; the Wronskian 
9 
2, 5, 6, 8, 12, 18 

Review for Exam 1 
10 


Common Exam 1, Wednesday, February 14, 2018 
3.2 
The Wronskian, Continued 
11 
22, 24, 25, 26, 31 
5

3.3 
Complex Roots of the Characteristic Equation 
12 
2, 3, 5, 7, 11, 17, 21, 27 
3.4 
Repeated Roots; Reduction of Order 
13 
1, 6, 9, 11, 14, 16, 26, 28, 30 
3.5 
Nonhomogeneous Equations; 
14 
3, 5, 9, 11, 17, 19, 

Undetermined Coefficients 


6 
3.5 
Undetermined Coefficients, Continued 
15 
22(a), 23(a), 25(a), 28(a) 
3.6 
Variation of Parameters 
16 
3, 7, 8, 9, 12, 13, 15, 19 
3.7 
Mechanical and Electrical 
17 
2, 3, 5, 7, 11, 12, 

Vibrations 


7 
3.7 
Vibrations, Continued 
18 
14, 16, 17, 18, 20 
3.8 
Forced Vibrations 
19 
2, 6, 9, 12 
5.1 
Review of Power Series 
20 
18, 20, 21, 23 
8 
5.2 
Series Solutions of Second Order Linear ODEs with NonConstant Coefficients; Solution Near an Ordinary Point 
21 
2(a, b), 4(a, b) 

Review for Exam 2 
22 


Common Exam 2, Wednesday, March 7, 2018 
5.2 
Series Solutions Near an Ordinary Point, Continued 
23 
7(a, b), 12(a, b) 
Spring Recess: Sunday, March 11 to Sunday, March 18, 2018

9 
5.4 
Euler’s Equation; Regular Singular Points 
24 
1, 3, 4, 8, 17, 20, 22 
6.1
& 6.2 
Definition of the Laplace Transform
& Solution of Initial Value Problems 
25 
6.1: 3, 4, 6, 9, 13, 15, 21, 
6.2 
Initial Value Problems, Continued 
26 
6.2; 1, 2, 3, 5, 7, 8, 13, 
10 
6.3 
Step Functions 
27 
2, 4, 10, 11, 15, 17, 20, 21, 23 
6.4 
ODEs with Discontinuous Forcing Functions 
28 
2, 3, 5, 7, 9, 11 
6.5 
Impulse Functions 
29 
1, 2, 5, 6, 9 
11 
6.6 
The Convolution Integral 
30 
4, 5, 6 
6.6 
Convolution, Continued 
31 
8, 9, 10, 14, 18 
7.1 
Systems of First Order
Linear ODEs 
32 
2, 4, 5, 7(a, b) 
12 

Review of Linear Algebraic Equations, Eigenvalues and Eigenvectors (2x2) 
33 
7.3: 16, 17, 18, 19 
7.5 
Homogeneous Linear Systems with Constant Coefficients 
34 
2(a), 4(a), 7(a), 15, 16 
7.6 
Complex Eigenvalues 
35 
2(a), 6(a), 10 
13 
7.6 
Complex Eigenvalues, Continued 
36 
13, 17, 28 

Review for Exam 3 
37 


Common Exam 3, Wednesday, April 18, 2018 
10.1 
TwoPoint Boundary Value Problems 
38 
1, 3, 5, 10, 14, 15, 18 
14 
10.2 
Fourier Series 
39 
1, 5, 6, 7, 13, 15, 16 
10.2 
Fourier Series, Continued 
40 
19(a, b), 20(a, b), 22(a, b) 
10.4 
Even and Odd Functions 
41 
2, 3, 4, 7, 9, 15, 16, 21, 23(a, b), 27(a, b) 
15 

Review for Final Exam 
42 
